Mathematical Methods in the Physical Sciences
Mathematical Methods in the Physical Sciences
3rd Edition
ISBN: 9780471198260
Author: Mary L. Boas
Publisher: Wiley, John & Sons, Incorporated
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Chapter 7.13, Problem 5MP

Consider one arch of f ( x ) = sin x . Show that the average value of f ( x ) over the middle third of the arch is twice the average value over the end thirds.

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